Search a number
-
+
103561256136756 = 223111515195728283
BaseRepresentation
bin10111100011000000111011…
…111000100111000000110100
3111120200100201000000200102010
4113203000323320213000310
5102033221423032334011
61004131215001044220
730546024316636005
oct2743007370470064
9446610630020363
10103561256136756
112aaa809a286560
12b746a47186670
1345a2a2786b982
141b8056a5651ac
15be8cec7c31a6
hex5e303be27034

103561256136756 has 48 divisors (see below), whose sum is σ = 265356234920448. Its totient is φ = 31174369692000.

The previous prime is 103561256136727. The next prime is 103561256136797. The reversal of 103561256136756 is 657631652165301.

It is a happy number.

It is a super-3 number, since 3×1035612561367563 (a number of 43 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 103561256136696 and 103561256136705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2597844210 + ... + 2597884073.

It is an arithmetic number, because the mean of its divisors is an integer number (5528254894176).

Almost surely, 2103561256136756 is an apocalyptic number.

It is an amenable number.

103561256136756 is an abundant number, since it is smaller than the sum of its proper divisors (161794978783692).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

103561256136756 is a wasteful number, since it uses less digits than its factorization.

103561256136756 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5195728452 (or 5195728450 counting only the distinct ones).

The product of its (nonzero) digits is 20412000, while the sum is 57.

The spelling of 103561256136756 in words is "one hundred three trillion, five hundred sixty-one billion, two hundred fifty-six million, one hundred thirty-six thousand, seven hundred fifty-six".

Divisors: 1 2 3 4 6 11 12 22 33 44 66 132 151 302 453 604 906 1661 1812 3322 4983 6644 9966 19932 5195728283 10391456566 15587184849 20782913132 31174369698 57153011113 62348739396 114306022226 171459033339 228612044452 342918066678 685836133356 784554970733 1569109941466 2353664912199 3138219882932 4707329824398 8630104678063 9414659648796 17260209356126 25890314034189 34520418712252 51780628068378 103561256136756